Step 1 :Let's denote the original price of a trophy as \(x\), the discount per trophy as \(d\), the number of trophies as \(n\), and the total cost as \(T\).
Step 2 :We know that the discount per trophy \(d = 3\), the number of trophies \(n = 16\), and the total cost \(T = 152\).
Step 3 :The discounted price per trophy is \(T/n\), and since the discount was \(d\), the original price was \(T/n + d\).
Step 4 :Calculate the discounted price per trophy: \(T/n = 152/16 = 9.5\).
Step 5 :Add the discount to the discounted price to find the original price: \(9.5 + 3 = 12.5\).
Step 6 :Final Answer: The original price of a trophy is \(\boxed{12.5}\) dollars.